In this paper, we attach an L∞-algebra to any coisotropic submanifold in a Jacobi manifold. Our construction generalizes and unifies analogous constructions by Oh-Park (symplectic case), Cattaneo-Felder (Poisson case), Lê-Oh (locally conformal symplectic case). As a new special case, we attach an L∞-algebra to any coisotropic submanifold in a contact manifold. The L∞-algebra of a coisotropic submanifold S governs the (formal) deformation problem of S.
Deformations of Coisotropic Submanifolds in Jacobi Manifolds
Tortorella, Alfonso GiuseppeMembro del Collaboration Group
;VITAGLIANO, LUCAMembro del Collaboration Group
2018
Abstract
In this paper, we attach an L∞-algebra to any coisotropic submanifold in a Jacobi manifold. Our construction generalizes and unifies analogous constructions by Oh-Park (symplectic case), Cattaneo-Felder (Poisson case), Lê-Oh (locally conformal symplectic case). As a new special case, we attach an L∞-algebra to any coisotropic submanifold in a contact manifold. The L∞-algebra of a coisotropic submanifold S governs the (formal) deformation problem of S.File in questo prodotto:
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